Volume Force

Volume Force

a force acting on all particles (volume elements) of a given body and proportional to the mass of the particles. Gravitational force is an example of a volume force. The limit of the ratio of the geometric sum of the volume forces acting on a particle to its volume when the volume is contracted to a point is called the volumetric stress at the given point.

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The force at the surface can be expressed as a volume force using the divergence theorem.
5] is incorporated as a source term by replacing the volume force ([?
As seen in [11], in the macroscopic local case, the volume force [X.
The ensuing quantities {S,S,z,Z} have the meaning of generalized stress fields: S is a nonsymmetric stress tensor; S is the couple-stress tensor; z is the internal volume force related to the presence of the microcracks, playing the role of the force responsible for the internal changes of the system configuration [7,8], and Z is the microstress tensor.
In the end, however, the contents of the volume force us to deal directly with the relationship between Kendall and Strauss.
The volume force may thus be very small, but not exactly zero.
where F is a volume force, [rho] is the fluid density and v is the dynamic viscosity.
In analogy with conventional theory, a local momentum equation including a volume force term is obtained from vector multiplication of equation (15) by B and equation (16) by [[epsilon].
In this equation the contribution from the volume force is found to vanish in rectangular geometry, and to become nonzero but negligible in cylindrical geometry.
The slender volume forces the reader to face the seeming beauty of violence at the core of human society.
Through its engagement with European intellectual history, economic history, and cultural history, this volume forces the reader to rethink Jews' complex relationship with capitalism.

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